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arXiv · 2301.09215

Existence of pencils with nonblocking hypersurfaces

Shamil Asgarli·Dragos Ghioca·Chi Hoi Yip
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Abstract

We prove that there is a pencil of hypersurfaces in $\mathbb{P}^n$ of any given degree over a finite field $\mathbb{F}_q$ such that every $\mathbb{F}_q$-member of the pencil is not blocking with respect to $\mathbb{F}_q$-lines.

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Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip. 2023-01-22. Existence of pencils with nonblocking hypersurfaces. https://doi.org/10.1016/j.ffa.2023.102283

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